arXiv:2512.19846eess.SYcs.RO2025-12被引 1

提出新型轴角姿态控制方法,提升旋转系统稳定效率。

A Class of Axis-Angle Attitude Control Laws for Rotational Systems

  • 基于轴角表示构建新控制框架,摆脱四元数限制。
  • 高速翻滚恢复中稳定性更快,控制能耗更低。
  • 适合需变速切换的高动态旋转系统设计。

本文提出一类针对旋转系统的新型姿态控制律,将欧拉轴角表示法的应用扩展至非四元数框架。基于基本李雅普诺夫稳定性理论与扩展类K函数概念,建立了闭环系统单一平衡点全局渐近稳定的判定与实现方法。与传统四元数方法相比,该轴角方法在控制律设计上更具灵活性,特别适用于依赖系统角速度切换的控制方案。通过仿真与实时实验验证,结果表明在高速翻滚恢复操作中,新方法能持续实现更短的稳定时间,并显著降低控制能量需求,优于基准的四元数与几何控制方法。

原文摘要 · Abstract (English)

We introduce a new class of attitude control laws for rotational systems; the proposed framework generalizes the use of the Euler \mbox{axis--angle} representation beyond quaternion-based formulations. Using basic Lyapunov stability theory and the notion of extended class $\mathcal{K}$ function, we developed a method for determining and enforcing the global asymptotic stability of the single fixed point of the resulting \mbox{\textit{closed-loop}} (CL) scheme. In contrast with traditional \mbox{quaternion-based} methods, the introduced generalized \mbox{axis--angle} approach enables greater flexibility in the design of the control law, which is of great utility when employed in combination with a switching scheme whose transition state depends on the angular velocity of the controlled rotational system. Through simulation and \mbox{real-time} experimental results, we demonstrate the effectiveness of the developed formulation. According to the recorded data, in the execution of \mbox{high-speed} \mbox{tumble-recovery} maneuvers, the new method consistently achieves shorter stabilization times and requires lower control effort relative to those corresponding to the \mbox{quaternion-based} and \mbox{geometric-control} methods used as benchmarks.

姿态控制旋转系统轴角表示

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